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Finding the Fourth Proportional to 109,538.68, 151,162.22 and 61,807.56

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Solution

The fourth proportional to 109,538.68, 151,162.22 and 61,807.56 is: 85,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538.68 : 151,162.22 = 61,807.56 : x
  2. Step 2: Convert to fraction form
    109,538.68/151,162.22 = 61,807.56/x
  3. Step 3: Cross multiply
    109,538.68x = 151,162.22 × 61,807.56
  4. Step 4: Simplify right side
    109,538.68x = 9,342,967,982.38
  5. Step 5: Solve for x
    x = 9,342,967,982.38/109,538.68
  6. Step 6: Final answer
    x = 85,293.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.